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san4es73 [151]
3 years ago
14

A customer bought a car and paid $1,080 in sales tax. The sales tax rate is 6%. What was the price of the car before the tax?

Mathematics
1 answer:
Helga [31]3 years ago
5 0
Okay. So you have the amount of take, and the tax rate.
To find tax you multiply the amount (x) by the percent of tax in decimal form. 
So:
.06x = $1,080
x = $18,000
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Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
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Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

so

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

<u><em>To the river</em></u>

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance from its resting place to a rock near a river is

d_1=40x=40(0.1591)=6.36\ miles

<u><em>From the river</em></u>

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance of the return trip is

d_2=70x=70(0.0909)=6.36\ miles

Both distances are the same

8 0
3 years ago
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